Directions(Q.161-165): Study the given information carefully and answer the following questions below. Seven boxes are placed one above the other. Each box contains different numbers of books-18, 25, 36, 40, 45, 64 and 70(but not necessary in the same order). (i) Box O is below box M. Two boxes are kept between J and the box containing 36 books, which is kept below Box J. N contains double number of books than box K. Box L contains 5 book more than M and is not kept at the top. (ii) The number of books in box P is a square of a number. Only one box is kept between box containing 36 books and 40 books. Box M has less number of books than box J. Five boxes are kept between box containing 64 books and Box L. (iii) Box P is immediately above box N. Box M is not kept immediately above or below box K. Three boxes are kept between box M and box O. (iv) Not more than two boxes are kept above J. Box J contains number of books which is cube of a number.
How many boxes are placed above the box which contain 70 books?
- AOption (a)
1
- BOption (b)
2
- COption (c)
3
- DOption (d)
More than 4
- EOption (e)
None of these
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Correct answer
More than 4
Why this answer is correct
Solution(161 – 165): From (i) and (iv), we will have four cases: Box J is kept either at place no. 7 or 6 or 5. The box containing 36 books is kept either at place no. 4 or 3 or 2. From (iv), Box J contains number of books which is cube of a number. 64 is the only number which is a cube of 4. From (ii), Five boxes are kept between box containing 64 books and Box L. Case 2 and 3 will get discarded as there will no place left for L. So, box L will be kept at place no. 1. From Case 3: Box L contains 5 book more than M and is not kept at the top. There are two number given 45 and 40 and the difference between them is 5. So, Box L and M have 45 and 40 respectively. Box M and O will be kept at place no. 6 and 2 respectively. N contains double number of books than box K. Box P is immediately above box N. There are two numbers 18 and 36. Box P and N will be kept at place no. 5 and 4 respectively. Only box left for place no. 3 is K. From (ii), The number of books in box P is a square of a number. Only number left for box P is 25 which is a square of 5. Only number left for box O is 70. Final arrangement: 7 J 64 6 M 40 5 P 25 4 N 36 3 K 18 2 O 70 1 L 45 Boxes above O (70 books) are J, M, P, N, K (5 boxes). Hence, More than 4.